Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8441/936,2181/247
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8441,2181
Greatest Common Factor of Numerators i.e. GCF of 8441,2181 is 1 .
LCM of Denominators means LCM of 936,247 as per the given fractions.
LCM of 936,247 is 17784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8441,2181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1,23,367,8441
Factors of 2181
List of positive integer factors of 2181 that divides 2181 without a remainder.
1,3,727,2181
Greatest Common Factor
We found the factors 8441,2181 . The biggest common factor number is the GCF number.
So the greatest common factor 8441,2181 is 1.
Lets's calculate LCM of 936,247
13 | 936, 247 |
72, 19 |
∴ So the LCM of the given numbers is 13 x 72 x 19 = 17784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17784
Therefore, the GCF of Fractions 8441/936,2181/247 is 1/17784
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 936,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,247) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(936,247) x common factors =13 x 1 = 13
LCM(936,247) = ( 936 × 247 ) / 13
LCM(936,247) = 231192 / 13
LCM(936,247) = 17784
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 8441/936, 2181/247?
Answer: GCF of Numerators as per given numbers 8441/936, 2181/247 is
GCF of Numerators i.e. for 8441,2181 is 1
LCM of denominators i.e. for 936,247 is 17784.
Thus, GCF of Fractions is 1/17784.Finally, GCF of Fractions for 8441/936, 2181/247 is 1/17784.